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Finding the Fourth Proportional to 509,434.68, 763,101.90 and 298,432.92

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Solution

The fourth proportional to 509,434.68, 763,101.90 and 298,432.92 is: 447,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,434.68 : 763,101.90 = 298,432.92 : x
  2. Step 2: Convert to fraction form
    509,434.68/763,101.90 = 298,432.92/x
  3. Step 3: Cross multiply
    509,434.68x = 763,101.90 × 298,432.92
  4. Step 4: Simplify right side
    509,434.68x = 227,734,728,274.55
  5. Step 5: Solve for x
    x = 227,734,728,274.55/509,434.68
  6. Step 6: Final answer
    x = 447,034.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.